Titill: | Logarithmic negativity in quantum Lifshitz theories |
Höfundur: |
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Útgáfa: | 2020-09 |
Tungumál: | Enska |
Umfang: | 11 |
Háskóli/Stofnun: | Háskóli Íslands University of Iceland |
Svið: | Verkfræði- og náttúruvísindasvið (HÍ) School of Engineering and Natural Sciences (UI) |
Deild: | Raunvísindastofnun (HÍ) Science Institute (UI) |
Birtist í: | Journal of High Energy Physics;2020(9) |
ISSN: | 1029-8479 |
DOI: | 10.1007/JHEP09(2020)011 |
Efnisorð: | Nuclear and High Energy Physics; Field Theories in Higher Dimensions; Field Theories in Lower Dimensions; Conformal Field Theory; Sviðsfræði; Atómfræði |
URI: | https://hdl.handle.net/20.500.11815/2148 |
Tilvitnun:Angel-Ramelli, J., Berthiere, C., Puletti, V.G.M. et al. Logarithmic negativity in quantum Lifshitz theories. J. High Energ. Phys. 2020, 11 (2020). https://doi.org/10.1007/JHEP09(2020)011
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Útdráttur:We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a correlator approach to obtain analytic results for both open and periodic biharmonic chains. In 2+1 dimensions we use a replica method and consider spherical and toroidal spatial manifolds. In all cases, the universal finite part of the logarithmic negativity vanishes for mixed states defined on two disjoint components. For mixed states defined on adjacent components, we find a non-trivial logarithmic negativity reminiscent of two-dimensional conformal field theories. As a byproduct of our calculations, we obtain exact results for the odd entanglement entropy in 2+1 dimensions.
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Athugasemdir:Publisher's version (útgefin grein)
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Leyfi:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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